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Square root of 3609

The square root of 3609 is 60.074953 (rounded to 6 decimal places). In simplest radical form it is 3√401.

Square root of 3609

Pick any whole number from 1 to 10,000.

How to work it out

  1. 1

    The square root of 3609 is the number that multiplied by itself gives 3609.

  2. 2

    3609 is between the perfect squares 60² = 3600 and 61² = 3721, so its square root is between 60 and 61.

  3. 3

    Pull out the biggest square factor: 3609 = 9 Ɨ 401, so

    3609=9Ɨ401=3401\sqrt{3609} = \sqrt{9 \times 401} = 3\sqrt{401}
  4. 4

    A calculator, or long division of digits, gives

    3609ā‰ˆ60.074953\sqrt{3609} \approx 60.074953
LaTeX source of the formulas on this page
\[ \sqrt{3609} = 3\sqrt{401} \approx 60.074953 \]
\[ \sqrt{3609} = \sqrt{9 \times 401} = 3\sqrt{401} \]
\[ \sqrt{3609} \approx 60.074953 \]

Squares around 3609

NumberSquared
593481
603600
613721
623844

Questions

What is the square root of 3609?

The square root of 3609 is 60.074953 (rounded to 6 decimal places). In simplest radical form it is 3√401.

Is 3609 a perfect square?

No. It lies between 60² = 3600 and 61² = 3721.

What is 3609 squared?

3609 Ɨ 3609 = 13024881.

What is the square root of 3609 rounded to 2 decimals?

60.07.

Nearby numbers

More about 3609

    Square root of 3609: 60.074953 | WordGPT